LGBTI community members trying to access in-vitro fertilisation (IVF) treatment have been refused because of their sexuality under Northern Territory law, an advocate group says.

Rainbow Territory is calling for the NT Discrimination Act to be updated to extend further protections to the LGBTI community.

Spokesperson Jane Black said responses to a community survey last year revealed a number of people were refused access to IVF in the state.

"One community member ... said they weren't able to access IVF because they weren't medically infertile and they weren't willing to say they were to get the service," she said.

"They ended up going interstate."

Ms Black said in another case, the requests of one NT IVF clinic led to a family relocating entirely.

"We had another response from a family member of a person who wanted access to the service who said their family member ended up leaving the Territory altogether because they couldn't access it," she said.

Repromed, the only IVF clinic in the NT, said there was no legislation for assisted reproductive technology and as a result Repromed was legislated by South Australian law.

General manager of Repromed Hamish Hamilton said recent law reforms in South Australia removed the criteria for medical infertility.

"We treat a lot of same-sex couples already, it's just that many of them do have an infertility status diagnosed," he said.

"But now the absolute necessity for an infertility diagnosis has been removed and we cannot discriminate based on gender or sexual preference."

Mr Hamilton said the clinic would welcome changes to the NT Anti-Discrimination Act and any new legislation that would cover assisted reproductive technology in the Territory.

As well as changes to the act to protect against IVF refusal, Rainbow Territory is calling for reforms to make it illegal for religious schools to refuse work to gay teachers.

Ms Black said the changes would reflect attitudes of most Territorians.

"It's not a gay ghetto in the Territory," she said.

"We're throughout the Territory, Nhulunbuy, Tennant, Wadeye, everywhere, so I think we should get the same protections and I think that would be broadly supported."

NT Anti-Discrimination Commissioner Sally Sievers said fertility services were not included in those covered in the Discrimination Act.

"The discrimination is currently actually enshrined in the act because fertility services are exempt," she said.

Ms Sievers said it was a matter of taking that exemption out and including fertility services with others bound by the law.

She said a discussion paper was being drafted and would be open to public consultation "imminently" before legislation was drafted.